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» In Praise of Numerical Computation
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SIAMIS
2008
279views more  SIAMIS 2008»
13 years 9 months ago
A New Alternating Minimization Algorithm for Total Variation Image Reconstruction
We propose, analyze and test an alternating minimization algorithm for recovering images from blurry and noisy observations with total variation (TV) regularization. This algorith...
Yilun Wang, Junfeng Yang, Wotao Yin, Yin Zhang
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 9 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
SIAMSC
2008
132views more  SIAMSC 2008»
13 years 9 months ago
Stochastic Preconditioning for Diagonally Dominant Matrices
Abstract. This paper presents a new stochastic preconditioning approach for large sparse matrices. For the class of matrices that are row-wise and column-wise irreducibly diagonall...
Haifeng Qian, Sachin S. Sapatnekar
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 9 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 9 months ago
New Finite Elements for Large-Scale Simulation of Optical Waves
We present a new method to simulate optical waves in large geometries. This method is based on newly developed finite elements, so-called Trigonometric Finite Wave Elements (TFWEs)...
Britta Heubeck, Christoph Pflaum, Gunther Steinle